select the correct answer.\nshane created a scatter plot and drew a line of best fit, as shown.\nwhat is the…
select the correct answer.\nshane created a scatter plot and drew a line of best fit, as shown.\nwhat is the equation of the line of best fit that shane drew?\na. $y = 5x + 10$\nb. $y = 5x + 11$\nc. $y = \\frac{1}{5}x + 10$\nd. $y = \\frac{1}{5}x + 11$
Answer
Explanation:
Step1: Identify y-intercept
The line crosses the y-axis at $(0, 10)$, so $b=10$.
Step2: Calculate slope
Pick two points on the line, e.g., $(0,10)$ and $(10,12)$. Slope $m=\frac{12-10}{10-0}=\frac{2}{10}=\frac{1}{5}$
Step3: Write line equation
Use slope-intercept form $y=mx+b$. Substitute $m=\frac{1}{5}$ and $b=10$.
Answer:
C. $y = \frac{1}{5}x + 10$